I once had to do that for birth certificate, here is some information for that particular case, perhaps it may help for other cases:
http://www.doh.state.fl.us/planning_...s/apostile.htm
Snip:
Apostile/Exemplified Certificates
An apostile or exemplified copy of a vital record
is a copy that contains the original signature of the State Registrar and the Secretary of State of Florida. If you need a vital record that
is going to be presented to a foreign country, follow these steps to obtain such a certificate
Send a signed letter and the appropriate fee along with the following information to the Office of Vital Statistics